求值: (1)2-
(2)lg5(lg8+lg1000)+(lg2
|
(1)原式=
+1 2
(1 2
+1)-1=2
×2+2 2
=22
.2
(2)原式=lg5(3lg2+3)+(
lg2)2-lg6+lg3 6 100
=3lg5lg2+3lg5+3lg22-lg6+lg6-2
=3lg2(lg5+lg2)+3lg5-2
=3(lg2+lg5)-2
=3-2=1.
求值: (1)2-
(2)lg5(lg8+lg1000)+(lg2
|
(1)原式=
+1 2
(1 2
+1)-1=2
×2+2 2
=22
.2
(2)原式=lg5(3lg2+3)+(
lg2)2-lg6+lg3 6 100
=3lg5lg2+3lg5+3lg22-lg6+lg6-2
=3lg2(lg5+lg2)+3lg5-2
=3(lg2+lg5)-2
=3-2=1.